Classifications

• • H—ELECTRICITY
  • H01—ELECTRIC ELEMENTS
  • H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
  • H01S3/00—Lasers, i.e. devices using stimulated emission of electromagnetic radiation in the infrared, visible or ultraviolet wave range
  • H01S3/23—Arrangements of two or more lasers not provided for in groups H01S3/02 - H01S3/22, e.g. tandem arrangements of separate active media
  • H01S3/2308—Amplifier arrangements, e.g. MOPA
  • H01S3/2325—Multi-pass amplifiers, e.g. regenerative amplifiers
  • H01S3/2333—Double-pass amplifiers
• • H—ELECTRICITY
  • H01—ELECTRIC ELEMENTS
  • H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
  • H01S2301/00—Functional characteristics
  • H01S2301/20—Lasers with a special output beam profile or cross-section, e.g. non-Gaussian
  • H01S2301/206—Top hat profile
• • H—ELECTRICITY
  • H01—ELECTRIC ELEMENTS
  • H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
  • H01S3/00—Lasers, i.e. devices using stimulated emission of electromagnetic radiation in the infrared, visible or ultraviolet wave range
  • H01S3/005—Optical devices external to the laser cavity, specially adapted for lasers, e.g. for homogenisation of the beam or for manipulating laser pulses, e.g. pulse shaping
• • H—ELECTRICITY
  • H01—ELECTRIC ELEMENTS
  • H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
  • H01S3/00—Lasers, i.e. devices using stimulated emission of electromagnetic radiation in the infrared, visible or ultraviolet wave range
  • H01S3/05—Construction or shape of optical resonators; Accommodation of active medium therein; Shape of active medium
  • H01S3/08—Construction or shape of optical resonators or components thereof
  • H01S3/08072—Thermal lensing or thermally induced birefringence; Compensation thereof
• • H—ELECTRICITY
  • H01—ELECTRIC ELEMENTS
  • H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
  • H01S3/00—Lasers, i.e. devices using stimulated emission of electromagnetic radiation in the infrared, visible or ultraviolet wave range
  • H01S3/10—Controlling the intensity, frequency, phase, polarisation or direction of the emitted radiation, e.g. switching, gating, modulating or demodulating
  • H01S3/10076—Controlling the intensity, frequency, phase, polarisation or direction of the emitted radiation, e.g. switching, gating, modulating or demodulating using optical phase conjugation, e.g. phase conjugate reflection
• • H—ELECTRICITY
  • H01—ELECTRIC ELEMENTS
  • H01S—DEVICES USING THE PROCESS OF LIGHT AMPLIFICATION BY STIMULATED EMISSION OF RADIATION [LASER] TO AMPLIFY OR GENERATE LIGHT; DEVICES USING STIMULATED EMISSION OF ELECTROMAGNETIC RADIATION IN WAVE RANGES OTHER THAN OPTICAL
  • H01S3/00—Lasers, i.e. devices using stimulated emission of electromagnetic radiation in the infrared, visible or ultraviolet wave range
  • H01S3/23—Arrangements of two or more lasers not provided for in groups H01S3/02 - H01S3/22, e.g. tandem arrangements of separate active media
  • H01S3/2308—Amplifier arrangements, e.g. MOPA
  • H01S3/2325—Multi-pass amplifiers, e.g. regenerative amplifiers
  • H01S3/2341—Four pass amplifiers

Definitions

• the subject invention relates to a system for minimizing the depolarization of a laser beam due to thermally induced birefringence in a rod-shaped gain medium.
• the system is particularly useful for improving the performance of a high power, high repetition rate, solid state, phase conjugate amplifier.
• a small master laser oscillator is used to generate low power pulses.
• the pulses Preferably, the pulses have a single longitudinal and transverse mode.
• the pulses are directed into an amplifier cell which includes a solid state gain medium such as a Nd:YAG rod.
• the solid state gain medium is typically excited by a flashlamp but recently diode lasers have been used as the excitation source.
• the pulses from the master laser are amplified by the energy stored in the gain medium.
• One problem which has limited the development of higher power amplifiers is that the excitation of the gain medium generates a significant amount of heat which increases the temperature of the rod.
• the laser rod is typically cooled from the outside leading to radial temperature gradients within the rod.
• nonuniform temperature distributions can create thermally induced stresses which distort the wavefront of the beam and degrade the performance of the laser.
• Various approaches have been proposed to remove or compensate for these wavefront distortions.
• One of the more promising approaches is described in U.S. Patent No. 4,734,911, issued March 29, 1988, to Bruesselbach and also described in a related article "Phase Conjugation: Reversing Laser Aberrations," Photonics Spectra, page 95, August 1986.
• the properties of a phase conjugate mirror are used to reverse the wavefront of a beam so that when it is sent back into the gain medium, the distortions can be compensated.
• FIG. 1 illustrates a simplified schematic layout of a prior art solid state amplifier 10 using a phase conjugate mirror of the type described in the above cited references.
• low power pulses are generated by a small master oscillator 12.
• the output pulses are coupled into the amplifier gain medium 14.
• the gain medium is excited by a flashlamp 16.
• the thermal loading of the gain medium will create phase front distortions in the beam.
• phase front distortions would be further increased by the thermally induced stresses in the crystal.
• PCM phase conjugate mirror 18
• the distortions are reversed. By passing the reversed distortions back through the gain medium, the distortions can compensated.
• a quarter-wave plate 20 can be located between the mirror 18 and the medium 14 to rotate the polarization of the beam so that it may be coupled out of the amplifier using a polarizing splitter 22.
• phase conjugate mirrors There are various types of phase conjugate mirrors which can be used in the layout illustrated in Figure 1.
• the above cited Bruesselbach patent suggests using a stimulated scattering type medium such as stimulated Brillouin scattering (SBS) or stimulated Raman scattering (SRS) .
• SBS stimulated Brillouin scattering
• SRS stimulated Raman scattering
• a sealed transparent tube filled with Freon defines a common SBS element.
• Bruesselbach appears to have been satisfactory for moderate repetition rates and therefore moderate thermal loading of the amplified gain medium. More specifically, Bruesselbach indicates that his system was operational up to about 10 Hz. It would be desirable to operate a system at a repetition rate of 100 Hz or higher. When the repetition rate is increased to this level, the amount of pump power which is coupled into the gain medium is significantly greater. In this situation, the thermally induced stresses create significant birefringence which induces strong depolarization effects in the beam. In fact, depolarization ratios of greater than fifty percent can be expected with flashlamp powers in the kilowatt regime. The depolarization ratio is defined as the energy in the unwanted (orthogonal) polarization divided by the total energy in the beam.
• phase conjugate mirror to reverse the phase front of a beam (defined as the fidelity of the phase conjugate mirror) is dependent on the polarization purity of the incoming beam.
• a true phase front reversal will not be achieved by a simple phase conjugate mirror based on an SBS cell. If the distorted phase front returning into the gain medium is not the same as that emerging from it, then the distortions will not be fully compensated resulting in degraded performance of the system. Accordingly, it is an object of the subject invention to provide an approach for minimizing the depolarizing effects created by thermally induced stress birefringence.
• the subject invention provides for a scheme for minimizing the depolarizing effects created by thermally induced birefringence.
• the approach is particularly useful in an amplifier system which includes a phase conjugate mirror that requires a highly polarized beam for maximum fidelity.
• a relay image means is used to transfer an image of the beam within a rod-shaped gain medium back into the same or a substantially identical gain medium.
• the relay image means is arranged to maintain the angle and position of the rays in the beam.
• the overall magnification of the relay image means is arranged to be one to one, so that the size of the relayed image will be the same as the original image.
• the polarization of the beam Prior to being reimaged, the polarization of the beam is rotated by ninety degrees. By this arrangement, the part of the mode of the beam that was radially polarized during the first pass is tangentially polarized during the second pass such that the initial polarization state can be substantially restored.
• the fidelity of the phase conjugate reflector is high and the quality of the phase reversal of the distortions are good.
• the phase distortions can be substantially removed and the performance of the system can be improved.
• Figure 1 is a schematic diagram of a phase conjugate amplifier found in the prior art.
• Figure 2 is a schematic diagram of a phase conjugate amplifier which utilizes the polarization compensation scheme of the subject invention.
• Figure 3 is a schematic diagram of a preferred embodiment of a four pass phase conjugate amplifier which utilizes the compensation scheme of the subject invention.
• Figure 4 is a schematic diagram of a preferred embodiment of a two pass phase conjugate amplifier which utilizes the compensation scheme of the subject invention.
• Figure 5 is a graph illustrating the variation in depolarization which occurs as the magnification of a relay image system is varied for the amplifier illustrated in Figure 4.
• Figure 6 is a plot of the transverse profile of the beam as it traverses the gain media in the amplifier illustrated in Figure 4.
• FIG 2 there is illustrated a simplified schematic diagram of a phase conjugate laser amplifier 30 utilizing the polarization scheme proposed herein.
• the output pulses from a master oscillator 12 are coupled into a rod-shaped amplifier gain medium 14. Because of the heat generated in the rod by the flashlamp 16, thermally induced stresses will create birefringence which will depolarize the input laser beam.
• the depolarization effects of the thermal birefringence are minimized by using a relay image means or telescope 34 to generate a real image of the beam which is then directed back into the gain medium.
• the optical properties of the image means are chosen so that a real image of the beam is reproduced in size, angle and position and will pass through the gain medium a second time.
• the relay image system 34 is chosen because it can achieve this result independent of the extent of focusing caused by the varying thermal lens in the gain medium.
• relay imaging has been used in the art for other purposes. See for example, "Suppression of Self-Focusing through Low-Pass Spatial Filtering and Relay Imaging," Hunt et. al, Applied Optics, Vol 17, No. 13, page 2053, July 1, 1978.
• a relay image can be created with various multiple optical lens elements or mirrors having different magnifications and spacings.
• the term relay lens system is intended to include any known optical elements suitable for focusing light.
• the simplest layout as shown in Figure 2 includes two identical lenses 36 and 38. Assuming these lenses each have a focal length F, then they would be spaced apart a distance of 2F. In addition, the distance D between the image in the gain medium 14 (object plane) and the reflector 44 (image plane) would be equal to 4F to generate a magnification of one to one.
• the most basic equation for the positioning of the relay lenses would be:
• the lens pair would not have to be centered between the gain medium and the reflector 44.
• the beam is focused at a point P between the lenses 36 and 38. Further, an intermediate image of the beam as it exists at the longitudinal center of the gain medium 14 is created at the reflector 44.
• this intermediate image does not have to be one to one.
• This intermediate image is then redirected back through the relay lens assembly 34 and recreated back in the gain medium 14.
• the size of the relayed image must be the same size as the original image.
• the rays in this image plane are identical in both angle and position to the rays traversing the medium during the first pass through the medium.
• a Faraday rotator 46 is utilized.
• the Faraday rotator 46 functions to rotate the polarization of the beam by 45 degrees on the first pass therethrough. Rotator 46 will rotate the beam an additional 45 degrees on the return pass.
• the beam is directed by polarizer 50 and turning mirror 52 into the phase conjugate reflector 18.
• Reflector 18 functions in the manner described above and reverses the phase front of the beam, including the distortions created in the gain medium.
• the polarizer serves as an effective coupler into the phase conjugate leg of the system. Additionally, the high polarization purity ensures that the fidelity of the reflector 18 will remain high so that when the beam is returned to the gain medium, the phase front distortions can be highly corrected.
• the beam will then pass through the gain medium 14 two more times. Because the polarization of the beam will be rotated a second time by the Faraday rotator 46, it will pass through polarizer 50 and be reflected out of the amplifier by polarizer 56.
• the subject polarization compensation system can be used in any situation where there is a rod-shaped optical element that is either naturally nonbirefringent or oriented to be nonbirefringent, but which will exhibit stress birefringence when placed under thermal loads. It is believed that the subject invention is particularly suited for polarization compensation in gain media such as Nd:YAG, Nd:YSGG and Nd:glass or any other rare earth doped YAG or glass. As will be discussed below, the subject compensation scheme utilizing a relay image system can also be implemented by passing the beam through two different, but substantially identical rods, in a manner analogous to the prior art stress birefringence compensation schemes.
• Figures 3 and 4 are schematic diagrams illustrating two alternate phase conjugate amplifier designs which employ the depolarization scheme of the subject invention.
• Figure 3 illustrates a four pass configuration similar to Figure 2.
• Figure 4 illustrates a two pass configuration, where two separate solid state rods are used, and one rod is used to compensate for the depolarization effects caused by the other rod.
• the master oscillator 112 is defined by a diode pumped solid state laser.
• the resonator of the oscillator is in the form of a ring.
• the ring is defined by two end mirrors and by providing two angled reflecting surfaces on the ends of the gain medium, in this case, Nd:YAG. This configuration is defined in greater detail in U.S. Patent No. 5,052,815, issued
• An acousto-optic modulator is used to create Q-switched pulses.
• the AO modulator also provides preferential losses in one direction and acts as an optical diode causing the oscillator 112 to operate unidirectionally.
• Single frequency operation is achieved through the ring geometry and by operating the oscillator slightly above threshold (prelasing) before opening the Q-switch.
• prelasing threshold
• the latter prelase feature functions to seed the Q-switch pulse with a low power, single frequency beam.
• the small ring geometry allows the oscillator to generate Q-switched output pulses that are about 10 nanoseconds long.
• the pulses have an energy of 25 microjoules at a wavelength of 1.06 microns.
• the output beam 114 is linearly polarized in the horizontal plane and is Gaussian in shape with a beam diameter of approximately 0.1 mm.
• the output beam 114 is expanded from a beam diameter of 0.1 mm using lenses 116 and 118.
• the beam is then passed through plate 120 having an 8mm aperture 122 to clip the beam at the 1/e 2 diameter.
• the 8 mm diameter beam is then passed through a polarizing beam splitter 126 and into a Faraday rotator 130 which rotates the polarization state of the beam by 45 degrees.
• the combination of Faraday rotator 130 and polarizer 126 act as an optical isolator to prevent reflected light from reentering the oscillator 112 and disturbing the single frequency operation, and to provide a means of coupling the returning amplified beam out of the laser amplifier chain as described below.
• the forward traveling beam then passes through half-wave plate 132 to rotate the polarization state back to the horizontal plane.
• the beam then passes through a vacuum spatial filter assembly 136 that consists of lenses 138 and 140 (focal lengths of 14.5 cm and 10 cm, respectively) and plate 142 with an aperture 144 (diameter of approximately 380-400 microns) .
• the spatial filter 136 performs a number of functions.
• the filter functions to reduce the diameter of the beam from 8mm down to 5.5mm.
• the upstream 8mm diameter beam is desireable to minimize damage to the optical components such as the Faraday rotator.
• the smaller downstream 5.5mm diameter allows the beam to be coupled into the 6.35mm (1/4 inch) aperture of the Nd:YAG rod 150 without clipping.
• the spatial filter 136 also functions to relay an image of the aperture 122 onto the front surface 152 of Nd:YAG rod 150 to provide a beam profile that is as close to a "top hat" as possible for the amplification process.
• the spatial filter 136 protects the high gain amplifier from optical damage that would result from spurious near or on axis retroreflections of the output beam.
• the spatial filter also removes the hard edges on the beam imposed by aperture 122 thereby reducing the possibility of optical damage to components in the high gain amplifier. Finally, the spatial filter eliminates diffraction rings from the near field beam profile of the output beam that would be present due to the slight clipping on apertures within the optical beam path of the amplifier.
• Cell 164 includes a Nd:YAG rod 150 which is pumped by a single flashlamp 166.
• diode lasers could be used in place of the flashlamp as the optical pump source.
• the flashlamp pulses are 250- 300 microseconds long. Once the flashlamp 166 is triggered, the gain in the rod will build up. Single pass gains exceeding 150 have been demonstrated for this amplifier cell.
• the pulse from the master oscillator 112 will be triggered, and the energy stored in the amplifier (up to 500 mJ) can be extracted during the four passes therethrough as discussed below. Because the leading edge of the master oscillator pulse is preferentially amplified and because of the dynamics of the SBS reflectivity, the pulse width is shortened to about 4 nanoseconds.
• this laser it is desirable to operate this laser at repetition rates exceeding 100 Hz. At this level, approximately 4 kilowatts of average power will be dissipated by the flashlamp 166. This amount of power will cause significant thermal stress birefringence in rod 150 which will distort the wavefront and depolarize the beam.
• the depolarized beam exiting the rod passes through a relay lens assembly 170.
• This relay lens assembly includes two identical lenses 172, 174. Typical focal lengths for these lenses are 15 cm spaced by 30 cm.
• the lenses are sealed to the ends of a cell 176 which is evacuated. Since the beam comes to a focus within the cell, it is desirable to locate the focal point in a vacuum so that the air does not breakdown.
• the relay lens assembly 170 generates an intermediate image of a plane at the center of the Nd:YAG rod 150 to the plane of a Porro prism 180.
• the output of the relay lens assembly is passed through a wave plate 182 and is reflected by the
• Porro prism 180 Alternately, a mirror and Faraday rotator, which is an equivalent optical arrangement, can be used.
• the primary function of the Porro prism/wave plate (or Faraday rotator/mirror) is to retro-reflect the beam while rotating the arbitrary polarization state of the beam by 90 degrees.
• the use of the Porro prism in combination with a waveplate to rotate the polarization state by 90 degrees is a technique known within the art (see J. Richards, "Birefringence compensation in polarization coupled lasers," Applied Optics, Vol. 26, No. 13, pp. 2514-2517, 1987, and references therein) .
• the reflected beam is then relay imaged again by lens assembly 170 from the plane of the Porro prism 180 into the center of rod 150.
• the ratio of the magnification between the image in the rod on the first pass and the relayed image is one to one. This unity magnification of a relayed image assures maximum coincidence of the first and second pass rays in the rod, which we have discovered to be an important element for obtaining good depolarization compensation.
• the output beam of the second pass can have a depolarization ratio as small as 15% at the 3.5 kW pump level as demonstrated in our laboratory.
• the relay imaging technique we have been able to demonstrate a depolarization ratio for the output beam of less than 1.3% at the 3.5 kW pump level, and this depolarization ratio falls to less than 0.4% at 2 kW of average pump power.
• This order of magnitude improvement in the depolarization ratio is directly attributable to the fact that we have matched the rays of the first and second passes as closely as possible using the relay imaging technique.
• the fact that the depolarization ratio is of the order of 1% or less is critical for good operation of the phase conjugate laser system.
• a secondary function of the Porro prism reflector is to invert the image of the beam between the first and second, and the third and fourth passes through the rod.
• image inversion provides some additional and surprising results. More specifically, in many amplifier designs, a single flashlamp is located on one side of the gain medium. In this configuration, one side of the gain medium tends to be pumped harder than the other side creating a nonuniform or skewed distribution of intensity in the beam. If the image of the beam is inverted on the second pass through the medium, the part of the beam that was amplified to a lesser extent will pass through the region of higher gain so that the radial intensity of the double passed beam will be more uniform.
• the radial uniformity of the stress birefringence is due to the fact that the stress birefringence is created over time and is a steady state phenomena that is more dependent on the cooling geometry than the pumping geometry.
• the nonuniform pump energy distribution exists only during the short intervals when the medium is in the excited state.
• phase conjugate mirror 190 consists of an SBS cell.
• the SBS cell is defined by a transparent elongated tube filled with carbon disulfide.
• PCM 190 functions to reverse the wavefront of the beam so that when it passes back into the rod 150, the wavefront distortions will be compensated.
• the beam will pass back through the rod 150, relay lens assembly 170 and reflect back off prism 180.
• the fourth pass through the rod will compensate for the depolarization induced by the third pass through the rod.
• the Porro prism will invert the image of the beam so that the radial intensity will be more uniform.
• the beam will be transmitted by polarizer 186, turned by the reflectors 162 and 160 and passed through spatial filter 136, waveplate 132 and Faraday rotator 130.
• the combination of waveplate 132 and Faraday rotator 130 rotates the polarization by 90 degrees and the beam is coupled out of the 4-pass amplifier beam line by polarizer 126.
• the combination of polarizer 126, Faraday rotator 130, and waveplate 132 serve as an isolator with an extinction ratio of greater than 1000:1 to minimize feedback into oscillator 112.
• the configuration shown in Figure 3 is optimal for maximizing the repetition rate of the system, while maintaining a pulse energy of less than 400 mJ in a 8 mm beam diameter. If higher energy per pulse is desired, the system 210 shown in Figure 4, which utilizes two separate rods, is preferred.
• a master oscillator 112 is provided to generate a pulsed output beam 214.
• Beam 214 is passed through lens 216, half wave plate 218 and Faraday rotator 220.
• the beam is then passed through lens 222 and plate 224 having an aperture 226.
• lenses 216, 222 and aperture 226 function in combination to expand the beam diameter and then clip the beam at the 1/e 2 diameter.
• the half wave plate 218 and Faraday rotator 220 function as an optical isolator in a manner similar to the embodiment illustrated in Figure 3.
• the beam is then turned by reflectors 228 and
• the spatial filter assembly includes a pair of lenses 238 and 240 and an internal plate 242 with an aperture 244.
• the spatial filter serves the same functions as described above.
• the amplifier head 246 includes a pair of laser rods, 248 and 250. Both rods are excited by the same flashlamp 252.
• the end surfaces of each rod 248 and 250 are wedged at an angle of approximately 2.3 degrees.
• the rods are mounted in cell 246 such that the wedges are opposing and the plane of incidence is in the horizontal plane. If a ray is drawn through the centers of each rod propagating toward reflector 260, it will be refracted at the rod surface and intersect at a point approximately 25 cm from cell 246. The intersection point forms the location for reflector 260.
• the rods 248 and 250 should be roughly identical to insure proper depolarization compensation as described previously for the single rod case. It is believed that this requirement is limited to insuring that the rods have substantially the same dimensions and substantially the same dopant concentrations. It does not appear necessary to go to any greater lengths to insure conformity such as picking two rods from the same region of the same crystal boule or even selecting rods from the same boule.
• Lens pair 262 and 264, and curved reflector 260 define the relay imaging assembly of this embodiment .
• the relay lens assembly or telescope functions to create an image in rod 250 of the beam as it exists in the longitudinal center of rod 248.
• the plane at the center of rod 248 is magnified by lens 262 to create an intermediate image on reflector 260.
• the plane at reflector 260 is then reimaged (and demagnified to precisely the original size) into the plane at the center of rod 250 using lens 264 and reflector 260.
• Typical focal lengths for lenses 262 and 264 are 7 cm, and a typical radius of curvature for mirror 260 is 10 cm.
• the spacing between lenses and mirror is approximately 17 cm.
• the spacing is configured to give the beam a radius of curvature of approximately 1 meter (expanding) as it enters rod 250 for the conditions of unpumped rods. This allows the thermal lensing of the rods under pumped conditions to be partially compensated.
• This relay imaging assembly causes the beam to come to a focus twice between rods 248 and 250. These two foci are located within vacuum cell 270 to prevent air breakdown.
• This relay imaging assembly also creates an image inversion with the resultant smoothing of the spatial gain profile as described with relation to the Porro prism shown in Figure 3.
• the polarization state of the beam Prior to entering the rod 250, the polarization state of the beam is rotated by 90 degrees using optical rotator 272. Assuming the rods are substantially identical as defined above, the depolarization of the beam induced by rod 248 will be compensated by the passage of the beam through rod 250. For this configuration, we have demonstrated a depolarization ratio at the exit of rod 250 of less than 0.4% for 4.0 kW of power to the lamp. At this pump power, the depolarization of a single rod would exceed 50% without the subject relay imaging technique.
• PCM 278 can be formed from carbon disulfide as noted above.
• the depolarization compensation is so complete that the quarter wave plate 276 can be used to rotate the polarization state by 90 degrees for the second pass through the amplifier system and to allow polarizer 232 to couple the beam out of the returning beam path.
• phase conjugate reflector 278 reverses the wavefront of the beam.
• the beam is then returned to the amplifier cell 246 where it passes through rod 250, rotator 272 and relay lenses 264 and 262.
• the beam is then passed through rod 248 where the depolarization of the beam induced by the passage through rod 250 is compensated.
• the beam is then directed to polarizer 232 where it is reflected out of the amplifier.
• the amplified output pulses can be used directly or passed through various non-linear elements such as a doubler 290 or tripler 292.
• Figure 5 illustrates how dramatically the depolarization level can increase if this relationship is not observed. This data was taken from an amplifier having a configuration illustrated in Figure 4.
• Figure 5 is a graph wherein the horizontal axis corresponds to the level of magnification (with 1.00 representing one to one) .
• the vertical axis corresponds to the percentage of depolarization which will occur as the magnification is varied.
• Curve A is a measure of the depolarization after a single pass through the gain medium.
• Curve B represents the more significant parameter of the system depolarization that occurs after two passes through the gain medium.
• system depolarization is at a minimum when the magnification is essentially one to one.
• magnification level is varied by only about six percent (e.g. 0.94 to one)
• system depolarization rises from a minimum of about one percent to four percent.
• a change of less than ten percent in magnification can quadruple the depolarization.
• Figure 6 is an illustration of the transverse beam profile in the two rods 248 and 250 of Figure 4 embodiment.
• beam 214 is expanding rapidly after it exits the rod.
• the beam is contracting.
• the beam profile is quite similar for either load condition. The fact that the beam divergence is different outside of the rods can be corrected by the phase conjugate reflector.
• this design can achieve a depolarization ratio of the amplified output beam of less than 0.5% for an average pump power of the lamp of 4.0 kW at 100 Hz repetition rate.
• approximately 45 watts of average power can be extracted from the amplifier.
• the average power of the laser can be increased to approximately 40 W at 100 Hz by increasing the average power to the lamp.
• the average output power of this system at 100 Hz is limited to approximately 65 watts due to the catastrophic optical damage of the coating on the output surface of rod 248 at higher levels. This optical damage is not observed at repetition rates of 10 Hz, or on lens 240 which experiences the same fluence level. However, improvements in coating technology should remove this limit.
• the output beam has a near diffraction-limited top hat profile with only very minor diffraction features. This beam profile does not significantly vary with changing repetition rate (average power loading to the lamp) .
• the temporal pulse width is approximately 5-6 ns FWHM in duration with a smooth profile and a steeper leading edge with a rise time of approximately one nanosecond. We believe the pulse line width to be transform-limited for this pulse shape.
• the maximum single pulse energy extracted from the amplifier system at low repetition rates has been 1 joule for a flashlamp input energy of approximately 55 joules. No adjustment to the optical components is necessary to achieve this result once the system has been optimized at a high repetition rate. All other optical parameters ⁇ remain substantially the same as those described above.
• the intermediate images can have a magnification larger than one so long as the image is demagnified before it is returned to the rod
• the spacing D between the object plane (center of rod) and image plane (position of Porro prism 180) for the general problem of locating an intermediate image that has been magnified by M can be calculated from the equation.
• Equation (2) is correct for the location of image planes in air (which has an index of refraction of approximately 1) .
• the calculation is slightly more complicated since the center of the rod 152 is imaged to the Porro prism 180 through approximately 6.4 cm of Nd:YAG crystal that has an index of refraction of approximately 1.72.
• the exact position of image plane can be easily calculated using an ABCD matrix approach known to those skilled in the art.
• the two-pass amplifier embodiment illustrated in Figure 4 uses a different relay imaging design.
• an infinite number of lenses or curved mirrors could be used to relay an image over any distance.
• the two lens, one mirror design in Figure 4 is equivalent to a three lens design. Equation 3 gives the distance D between the object plane and the image plane for a relay lens assembly containing three lenses, two of which are identical, and unity magnification of the image:
• f_ is the focal length of the identical lenses (such as 262 and 264 in Figure 4)
• f 0 is the focal length of the third lens or mirror (e.g., mirror 260 in Figure 4) that is located between the two identical lenses (lenses 262 and 264) at a distance of f + 2f 0 from each lens.
• the exact position of the image plane when the object plane is imaged through an optical material such as the Nd:YAG rod) whose index is different from one can be easily calculated by those skilled in the art.
• Equation 3 for an arbitrary number of lenses or mirrors can be calculated by those skilled in the art.
• Careful alignment and positioning of the elements in the relay image assembly is critical to minimize the depolarization ratio.
• an iterative alignment procedure is used to minimize the depolarization ratio of the amplifier oscillator beam entering the phase conjugate mirror 278.
• the depolarization ratio is measured after rod 250. A minimum is found as the axial distance from the rod for lens 262 is changed, while iterating the horizontal and vertical position of lens 264. This minimum in the depolarization ratio is typically less than 0.5% for a flashlamp pump power of 3.5 kW at 100 Hz repetition rate. Achieving a depolarization ratio of less than 1% is important to obtain good phase front reconstruction following reflection by the phase conjugate mirror as is observed for the amplifier systems illustrated in Figures 3 and 4.

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• 1995
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  • 1995-02-13 JP JP7521375A patent/JPH09509010A/ja active Pending
  • 1995-02-13 EP EP95910238A patent/EP0745282B1/de not_active Expired - Lifetime
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